Numeric.Interval.Internal:bisect from intervals-0.7.1, A

Time bar (total: 2.2s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 10 to 7 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)

sample986.0ms (45.5%)

Results
757.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 200.0ms
ival-div: 78.0ms (39% of total)
ival-sub: 59.0ms (29.5% of total)
ival-add: 47.0ms (23.5% of total)
const: 13.0ms (6.5% of total)
backward-pass: 3.0ms (1.5% of total)
Bogosity

preprocess313.0ms (14.4%)

Algorithm
1×egg-herbie
Rules
2980×fma-neg
638×fma-define
500×sub-neg
366×distribute-lft-out
330×+-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
025220
156196
2161196
3463133
4845133
51493133
62927133
73527133
83552133
93570133
103570133
115243133
126216133
136442133
146507133
156571133
166571133
176594133
186602133
196602133
Stop Event
1×node limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
(+.f64 (neg.f64 x) (/.f64 (-.f64 y (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 x (/.f64 (-.f64 (neg.f64 y) x) #s(literal 2 binary64)))
(neg.f64 (+.f64 (neg.f64 x) (/.f64 (-.f64 y (neg.f64 x)) #s(literal 2 binary64))))
(neg.f64 (+.f64 x (/.f64 (-.f64 (neg.f64 y) x) #s(literal 2 binary64))))
(+.f64 y (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Outputs
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
(+.f64 (neg.f64 x) (/.f64 (-.f64 y (neg.f64 x)) #s(literal 2 binary64)))
(*.f64 (-.f64 y x) #s(literal 1/2 binary64))
(+.f64 x (/.f64 (-.f64 (neg.f64 y) x) #s(literal 2 binary64)))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(neg.f64 (+.f64 (neg.f64 x) (/.f64 (-.f64 y (neg.f64 x)) #s(literal 2 binary64))))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(neg.f64 (+.f64 x (/.f64 (-.f64 (neg.f64 y) x) #s(literal 2 binary64))))
(*.f64 (-.f64 y x) #s(literal 1/2 binary64))
(+.f64 y (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
Symmetry

(sort x y)

explain223.0ms (10.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(/.f64 (-.f64 y x) #s(literal 2 binary64))
00-0-y
00-0-#s(literal 2 binary64)
00-0-(-.f64 y x)
00-0-(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
Results
193.0ms512×256valid
Compiler

Compiled 51 to 26 computations (49% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 7.0ms (42.6% of total)
ival-add: 5.0ms (30.4% of total)
ival-sub: 3.0ms (18.3% of total)
const: 1.0ms (6.1% of total)

eval0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize30.0ms (1.4%)

Results
24.0ms256×256valid
Compiler

Compiled 14 to 7 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 7.0ms (72.8% of total)
ival-mult: 2.0ms (20.8% of total)
const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Accuracy
100.0%
Counts
1 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes10.0ms (0.4%)

Accuracy

Total -0.0b remaining (-∞%)

Threshold costs -0b (-∞%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
Outputs
(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
Calls

3 calls:

1.0ms
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative
1×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
11219
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
Outputs
(*.f64 (+.f64 x y) #s(literal 1/2 binary64))

soundness566.0ms (26.1%)

Rules
2980×fma-neg
638×fma-define
500×sub-neg
366×distribute-lft-out
330×+-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
025220
156196
2161196
3463133
4845133
51493133
62927133
73527133
83552133
93570133
103570133
115243133
126216133
136442133
146507133
156571133
166571133
176594133
186602133
196602133
Stop Event
1×done
1×node limit
Compiler

Compiled 205 to 144 computations (29.8% saved)

preprocess35.0ms (1.6%)

Remove

(sort x y)

Compiler

Compiled 74 to 52 computations (29.7% saved)

end0.0ms (0%)

Profiling

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